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Finding the Fourth Proportional to 348,625.76, 480,943.76 and 205,317.20

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Solution

The fourth proportional to 348,625.76, 480,943.76 and 205,317.20 is: 283,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,625.76 : 480,943.76 = 205,317.20 : x
  2. Step 2: Convert to fraction form
    348,625.76/480,943.76 = 205,317.20/x
  3. Step 3: Cross multiply
    348,625.76x = 480,943.76 × 205,317.20
  4. Step 4: Simplify right side
    348,625.76x = 98,746,026,160.67
  5. Step 5: Solve for x
    x = 98,746,026,160.67/348,625.76
  6. Step 6: Final answer
    x = 283,243.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.